98580160 has 84 divisors (see below), whose sum is σ = 273112992. Its totient is φ = 33793536.

The previous prime is 98580137. The next prime is 98580169. The reversal of 98580160 is 6108589.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (98580169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12537 + ... + 18823.

Almost surely, 2^98580160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136556496).

98580160 is an abundant number, since it is smaller than the sum of its proper divisors (174532832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98580160 is a wasteful number, since it uses less digits than its factorization.

98580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 98580160 is about 9928.7542018120. The cubic root of 98580160 is about 461.9516325245.

The spelling of 98580160 in words is "ninety-eight million, five hundred eighty thousand, one hundred sixty".